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Finding the Fourth Proportional to 289,181.49, 433,767.78 and 78,818.82

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Solution

The fourth proportional to 289,181.49, 433,767.78 and 78,818.82 is: 118,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,181.49 : 433,767.78 = 78,818.82 : x
  2. Step 2: Convert to fraction form
    289,181.49/433,767.78 = 78,818.82/x
  3. Step 3: Cross multiply
    289,181.49x = 433,767.78 × 78,818.82
  4. Step 4: Simplify right side
    289,181.49x = 34,189,064,573.62
  5. Step 5: Solve for x
    x = 34,189,064,573.62/289,181.49
  6. Step 6: Final answer
    x = 118,227.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.